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## Which transformation will result in a figure with the same size and shape?

**A symmetry transformation** produces an image that is identical in size and shape to the original figure.

## Which transformation rules create an image where distance is preserved the size shape doesn’t change select all that apply?

**Translation**: Translation is a type of transformation which is used to describe a function that moves an object a certain distance. In this transformation, dimensions of the figure is always preserved. Therefore, In Reflection, rotation and translation, dimensions of the figure are always preserved.

## When a figure has the same shape but different sizes?

Two figures are called **congruent** if they are the same shape and the same size. Two figures are called similar if they are the same shape, but different sizes. More formally, two shapes are similar if they have congruent angles, and corresponding sides are proportional.

## Which transformation will result in being similar to the original figure but has a larger area?

**A dilation** is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation used to create an image larger than the original is called an enlargement.

## What are figures that have the same shape but not necessarily the same size?

**Congruent**. Two figures are congruent if they have the same shape and size. Two angles are congruent if they have the same measure. Two figures are similar if they have the same shape but not necessarily the same size.

## Which sequence of transformations results in figures that are similar but not congruent?

The correct answer is: **dilation and rotation**.

## Which transformation does not preserve size and shape?

**Reflection** does not preserve orientation. Dilation (scaling), rotation and translation (shift) do preserve it.

## Which of the transformations preserves the distances of a figure?

**Rigid motion** – A transformation that preserves distance and angle measure (the shapes are congruent, angles are congruent). Isometry – A transformation that preserves distance (the shapes are congruent).

## Which transformation does not preserve the orientation of the figure?

Rotation and translation preserve orientation, as objects’ pieces stay in the same order. **Reflection** does not preserve orientation.